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File:DSC01092.JPG Is the shape of the plants is natural?(640 × 480 (135 KB)) - 09:40, 21 June 2013File:FourierExampleGauss04Ta.png ..., increasing the number N of the grid points (N should be $2^m$ for some [[natural number]] $m$) and observing how quickly the quality of the approximation im(1,287 × 266 (35 KB)) - 09:39, 21 June 2013File:TetPlotU.png [[Category:Natural tetration]](838 × 2,088 (124 KB)) - 08:53, 1 December 2018File:TetSheldonImaT.png The same algorithm is used for the evaluation of [[tetration]] to the natural base ($b\!=\!\mathrm e$)(4,359 × 980 (598 KB)) - 09:40, 21 June 2013File:TkaschevByKovalev.jpg In support of version that the [[tsunami]] was a natural phenomenon, caused by heavy rain, Tkachev suggests the estimate of the atmo(475 × 356 (150 KB)) - 08:54, 1 December 2018File:2017.05.26draw.jpg The heart-ache and the thousand natural shocks(518 × 604 (33 KB)) - 08:27, 1 December 2018File:Ack3a600.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(5,130 × 1,793 (1.09 MB)) - 08:28, 1 December 2018File:Ack3b600.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(5,130 × 1,776 (1 MB)) - 08:28, 1 December 2018File:Ack3c600.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(5,130 × 1,776 (1.5 MB)) - 08:28, 1 December 2018File:Ack4a600.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(5,130 × 1,776 (1.65 MB)) - 11:57, 21 July 2020File:Ack4b600.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(5,130 × 1,760 (1.53 MB)) - 11:59, 21 July 2020File:Ack4bFragment.jpg [[Category:Natural tetration]](3,457 × 1,776 (1.62 MB)) - 08:28, 1 December 2018File:Ack4c.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(5,130 × 1,760 (1.92 MB)) - 08:28, 1 December 2018File:Ack4d.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(1,282 × 440 (266 KB)) - 08:28, 1 December 2018File:Ackerplot.jpg $A_{\mathrm e,4}(z)=\mathrm{tet}(z)~$ , see [[natural tetration]] $A_{\mathrm e,5}(z)=\mathrm{pen}(z)~$ , see [[natural pentation]](2,800 × 4,477 (726 KB)) - 08:28, 1 December 2018File:Ackerplot400.jpg $A_{\mathrm e,4}(z)=\mathrm{tet}(z)~$ , see [[natural tetration]] $A_{\mathrm e,5}(z)=\mathrm{pen}(z)~$ , see [[natural pentation]](3,355 × 4,477 (805 KB)) - 08:29, 1 December 2018File:Analuxp01t400.jpg Comparison of various fits of the [[natural titration]] with the [[complex map]s For [[Natural tetration]], the increment $k=L$.(2,083 × 3,011 (1.67 MB)) - 08:29, 1 December 2018File:Analuxp01u400.jpg [[Complex map]]s of various approximations $f$ of [[natural tetration]]. For [[Natural tetration]], the increment $k=L$.(2,083 × 3,011 (1.72 MB)) - 08:29, 1 December 2018File:Analuxp02t900.jpg is [[fixed point]] of natural [[logarithm]], $\ln(L)\!=\!L\!=\!\exp(L)$. This is asymptotic value of [[natural tetration]] in the [[Second quadrant]] of the [[complex plane]].(3,362 × 1,295 (987 KB)) - 08:29, 1 December 2018File:Ayu-Dag Mountain.JPG This is a photo of a natural heritage site in Ukraine, id: 01-103-5008(2,000 × 1,397 (1.17 MB)) - 08:30, 1 December 2018